微積分を学ぼう

In this class, students will become proficient in calculus topics. The topics covered will consist of limits, continuity, differentiability, and derivatives. Each week the topics will build off of the week before. Each lesson will focus on a specific calculus topic that will be thoroughly explained during class time with practice problems incorporated throughout class. Students will be offered optional homework assignments as extra practice for them to ensure their understanding of the topic. I will teach each topic with a combination of powerpoint lessons and practice problems that the students can work on during class. My style of teaching is to engage the students as much as possible and to encourage critical thinking. I like to incorporate multiple styles of teaching to make sure I can accommodate multiple learning styles. My teaching style is hybrid with a mix of instructor and student centered approaches. I would like my students to participate throughout class either by asking questions or discussing what they've learned during class. Students will have the opportunity to work in groups or individually for the practice problems covered in class and will be encouraged to ask questions to ensure they have understood the material covered.

Our tentative schedule will be as follows

Week 1: Limits - Graphically and Numerically

Week 2: Limits - Analytically

Week 3: Limits - Analytically

Week 4: Continuity

Week 5: Intermediate Value Theorem

Week 6: Limit Definition of a Derivative

Week 7: Rule of Derivatives (Power Rule, Product Rule, Quotient Rule)

Week 8: Rules of Derivatives (Chain Rule, Trig Rules)

Week 9: Implicit Differentiation

Week 10: Tangent Line

Week 11: Average Rate of Change vs Instantaneous Rate of Change

Week 12: Review of Main Concepts